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Finding the Fourth Proportional to 4,271.49, 6,412.77 and 4,095.99

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Solution

The fourth proportional to 4,271.49, 6,412.77 and 4,095.99 is: 6,149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.49 : 6,412.77 = 4,095.99 : x
  2. Step 2: Convert to fraction form
    4,271.49/6,412.77 = 4,095.99/x
  3. Step 3: Cross multiply
    4,271.49x = 6,412.77 × 4,095.99
  4. Step 4: Simplify right side
    4,271.49x = 26,266,641.79
  5. Step 5: Solve for x
    x = 26,266,641.79/4,271.49
  6. Step 6: Final answer
    x = 6,149.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.